A boat can go 54 km upstream in 6 hours. If the speed of the stream is 4.8 km/h, how much time (in hours) will the boat take to cover a distance of 279 km downstream?

Question

Accepted Answer

Step 1: Find the speed of the boat in still water.

Upstream speed = Speed of boat in still water - Speed of stream
Let the speed of boat in still water = x km/h
Given: Upstream distance = 54 km, Upstream time = 6 hours
So, Upstream speed = 54 km / 6 h = 9 km/h

Also, Upstream speed = x - 4.8 km/h
So, x - 4.8 = 9
=> x = 9 + 4.8 = 13.8 km/h

Step 2: Find the downstream speed.
Downstream speed = Speed of boat in still water + Speed of stream = 13.8 + 4.8 = 18.6 km/h

Step 3: Find the time to cover 279 km downstream.
Time = Distance / Speed = 279 km / 18.6 km/h = 15 hours

Final Answer: The boat will take 15 hours to cover 279 km downstream.

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